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Finding the Third Proportional to 66,654.85 and 94,314.61

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Solution

The third proportional to 66,654.85 and 94,314.61 is: 133,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654.85 : 94,314.61 = 94,314.61 : x
  2. Step 2: Convert to fraction form
    66,654.85/94,314.61 = 94,314.61/x
  3. Step 3: Cross multiply
    66,654.85x = 94,314.61 × 94,314.61
  4. Step 4: Simplify right side
    66,654.85x = 8,895,246,094.18
  5. Step 5: Solve for x
    x = 8,895,246,094.18/66,654.85
  6. Step 6: Final answer
    x = 133,452.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.